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arXiv · 1202.4739

The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem

Florin Diacu
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Abstract

We provide a class of orbits in the curved N-body problem for which no point that could play the role of the centre of mass is fixed or moves uniformly along a geodesic. This proves that the equations of motion lack centre-of-mass and linear-momentum integrals.

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Florin Diacu. 2012-02-21. The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem. https://arxiv.org/abs/1202.4739

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